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Finding the Fourth Proportional to 531,216, 733,078.08 and 292,752

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Solution

The fourth proportional to 531,216, 733,078.08 and 292,752 is: 403,997.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,216 : 733,078.08 = 292,752 : x
  2. Step 2: Convert to fraction form
    531,216/733,078.08 = 292,752/x
  3. Step 3: Cross multiply
    531,216x = 733,078.08 × 292,752
  4. Step 4: Simplify right side
    531,216x = 214,610,074,076.16
  5. Step 5: Solve for x
    x = 214,610,074,076.16/531,216
  6. Step 6: Final answer
    x = 403,997.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.